Oscillation criteria for a class of even-order neutral delay differential equations

Abstract

In this work, we study the oscillatory behavior of the nth order neutral equation (a (t) theta((n-)1) (t) + (i =1)Sigma(k) qi (l) phi (u(gi(t)) = 0 l ˃= l(0,) where n, k are positive integers, n is even, n ˃= 2, p is the p-Laplace operator (constant), p ˃ 1 and theta (t) := |vertical bar (t)vertical bar(p-2) u (t) + h (t) u (t (t)). New oscillation criteria are obtained by employing a refinement of the Riccati transformations, comparison principles and integral averaging technique. This new theorem complements and improves a number of results reported in the literature. One example is provided to illustrate the main results.